Evaluate
\frac{\left(8n+1\right)^{2}}{64}
Expand
n^{2}+\frac{n}{4}+\frac{1}{64}
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n^{2}+\frac{1}{4}n+\frac{1}{64}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(n+\frac{1}{8}\right)^{2}.
n^{2}+\frac{1}{4}n+\frac{1}{64}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(n+\frac{1}{8}\right)^{2}.
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